Question

If R = {(x, y) :x, y Z, x² + y²≤ 4} is a relation on Z, then domain of R is

A. {0, 1, 2} 

B. {0, −1, −2} 

C. {−2, −1, 0, 1, 2} 

D. none of these.

Answer 1

Option : (C)

Domain of R is a set constituting all values of x. 

Here, 

Possible values for x by equation x² + y² ≤  4 will be 0,1,-1,2,-2. 

So, 

Domain of R is : {-2, -1, 0, 1, 2}.